RSS feeds
РусскийEnglish
Issue 5, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1985

 / 

February

←  →

Reviews of topical problems


Low-frequency current noise with a 1/f spectrum in solids


The problem of low-frequency current noise with a $1/f$ spectrum in solids (flicker noise) is reviewed. The fundamental general properties of this noise are described: frequency-dependence of the spectral density, time-dependence of the correlation function, form of the distribution function of the fluctuations, dependence of the spectral density on the potential applied to the specimen, anisotropy of the fluctuations of the resistivity tensor, correlation length of the fluctuations, dependence of the noise on the dimensions of the specimen and on the concentration of current carriers, the empirical Hooge relationship, etc. A model of $1/f$ noise is presented and discussed that associates its spectrum with the presence in solids of an extensive hierarchy of relaxation times. Concrete models of systems having an exponentially broad spectrum of relaxation times are described (the McWhorter model, two-level tunneling systems, the disordered Ising kinetic model). The theory and experimental data on current noise caused by temperature fluctuations are analyzed. The problem is treated of surface noise in semiconductors and $1/f$ noise in metal films.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.1070/PU1985v028n02ABEH003853
PACS: 72.70.+m
DOI: 10.1070/PU1985v028n02ABEH003853
URL: https://ufn.ru/en/articles/1985/2/d/
Citation: Kogan Sh M "Low-frequency current noise with a 1/f spectrum in solids" Sov. Phys. Usp. 28 170–195 (1985)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Коган Ш М «Низкочастотный токовый шум со спектром типа 1/f в твердых телах» УФН 145 285–328 (1985); DOI: 10.3367/UFNr.0145.198502d.0285

Cited by (187) ↓ Similar articles (20)

  1. Li Q, Cheng M et al Adv Funct Materials (2026)
  2. Zagoskin A M Low Temperature Physics 51 (12) 1435 (2025)
  3. Fang Y Physica E: Low-dimensional Systems And Nanostructures 173 116319 (2025)
  4. Chen Y-H, Chu F-Ch et al IEEE Electron Device Lett. 46 (5) 705 (2025)
  5. Yakimov A V, Klyuev A V et al Fluct. Noise Lett. 23 (01) (2024)
  6. Baeva E M, Kolbatova A I et al Phys. Rev. B 110 (10) (2024)
  7. Balandin A A, Paladino E, Hakonen P J Applied Physics Letters 124 (5) (2024)
  8. Chernenkov V N Astrophys. Bull. 79 (1) 167 (2024)
  9. Gorlova I G, Zybtsev S G et al Pisʹma V žurnal êksperimentalʹnoj I Teoretičeskoj Fiziki 120 (1-2) 138 (2024)
  10. Gorlova I G, Zybtsev S G et al Jetp Lett. 120 (2) 133 (2024)
  11. Rehman A Nanoscience (2023) p. 232
  12. Islam S, Shamim S, Ghosh A Advanced Materials 35 (27) (2023)
  13. Ermachikhin A V, Litvinov V G et al Eurasian Phys. Tech. J. 19 (4(42)) 51 (2022)
  14. Konovalov V, Lukin K Radio Phys. Radio Astron. 27 (3) 229 (2022)
  15. Koverda V P, Skokov V N Tech. Phys. Lett. 47 (9) 665 (2021)
  16. Friedrich L, Colpo A et al Composite Structures 256 113105 (2021)
  17. Rojo T B N, Sobczyk M et al Applied Sciences 11 (6) 2718 (2021)
  18. Najafi M N, Tizdast S et al Phys. Scr. 96 (12) 125259 (2021)
  19. Koverda V P, Skokov V N J Appl Mech Tech Phy 62 (6) 912 (2021)
  20. Yakimov A V, Filatov D O et al Chaos, Solitons & Fractals 148 111014 (2021)
  21. Fleetwood D M Noise in Nanoscale Semiconductor Devices Chapter 1 (2020) p. 1
  22. Nadezhdinskii A I, Ponurovskii Ya Ya et al Phys. Wave Phen. 28 (4) 362 (2020)
  23. Mihaila M, Ursutiu D, Sandu I Sci Rep 9 (1) (2019)
  24. Koverda V P, Skokov V N Tech. Phys. Lett. 45 (11) 1159 (2019)
  25. Grüneis F Physics Letters A 383 (13) 1401 (2019)
  26. Gruzdov V V, Enisherlova K L et al Russ Microelectron 47 (7) 526 (2018)
  27. Morozov A N Entropy 21 (1) 9 (2018)
  28. Gorban’ I I Tech. Phys. 63 (12) 1722 (2018)
  29. Koverda V P, Skokov V N Dokl. Phys. 63 (11) 451 (2018)
  30. Naing W L, Yar L Z et al Materials Today: Proceedings 5 (12) 26062 (2018)
  31. Morozov A N Jetp Lett. 107 (12) 798 (2018)
  32. Piatrusha S U, Ginzburg L V et al Jetp Lett. 108 (1) 71 (2018)
  33. Gorban I I Randomness and Hyper-randomness Mathematical Engineering Chapter 6 (2018) p. 91
  34. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 511 263 (2018)
  35. Gorban I I The Statistical Stability Phenomenon Mathematical Engineering Chapter 8 (2017) p. 111
  36. Belyakov A V, Klyuev A V, Yakimov A V Fluct. Noise Lett. 16 (03) 1750030 (2017)
  37. Garcia O E, Theodorsen A Physics of Plasmas 24 (3) (2017)
  38. Denisov E S, Evdokimov Y K et al Fuel Cells 17 (2) 225 (2017)
  39. Dmitriev A I, Talantsev A D et al J. Exp. Theor. Phys. 123 (2) 303 (2016)
  40. Snarskii A A, Bezsudnov I V et al Transport Processes in Macroscopically Disordered Media Chapter 13 (2016) p. 161
  41. Janahmadov A Kh, Javadov M Y Synergetics and Fractals in Tribology Materials Forming, Machining And Tribology Chapter 8 (2016) p. 333
  42. Boltaev A P, Pudonin F A, Sherstnev I A Phys. Solid State 57 (10) 2099 (2015)
  43. Bystryi R G J. Phys.: Conf. Ser. 653 012154 (2015)
  44. Fleetwood D M IEEE Trans. Nucl. Sci. 62 (4) 1462 (2015)
  45. Gerashchenko O V, Matveev V A et al Phys. Solid State 56 (7) 1438 (2014)
  46. Gorban I I Tech. Phys. 59 (3) 333 (2014)
  47. Matveev V A, Pleshanov N K et al J. Surf. Investig. 8 (5) 991 (2014)
  48. Vinogradov A, Yasnikov I S, Estrin Y Journal of Applied Physics 115 (23) (2014)
  49. Klyuev A V, Yakimov A V Physica B: Condensed Matter 440 145 (2014)
  50. Tovbin Yu K Russ. J. Phys. Chem. 88 (2) 213 (2014)
  51. SHMELEV EVGENY I, KLYUEV ALEXEY V, YAKIMOV ARKADY V Fluct. Noise Lett. 12 (01) 1350008 (2013)
  52. Patange K B, Khan A R et al Investigations into Living Systems, Artificial Life, and Real-World Solutions chapter 6 (2013) p. 44
  53. Gorban I I Radioelectron.Commun.Syst. 55 (3) 99 (2012)
  54. Belogolovskii M A, Boilo I V, Shaternik V E Usp. Fiz. Met. 12 (2) 157 (2011)
  55. Koverda V P, Skokov V N Tech. Phys. 56 (11) 1539 (2011)
  56. Budak V P, Veklenko B A Journal Of Quantitative Spectroscopy And Radiative Transfer 112 (5) 864 (2011)
  57. Shmelev E I, Klyuev A V, Yakimov A V 2011 21st International Conference on Noise and Fluctuations, (2011) p. 176
  58. Patange K B, Khan A R et al International Journal of Artificial Life Research 2 (4) 1 (2011)
  59. Gridnev S A, Kamynin A A Bull. Russ. Acad. Sci. Phys. 75 (10) 1371 (2011)
  60. Koverda V P, Skokov V N Tech. Phys. 55 (4) 442 (2010)
  61. Skokov V N, Koverda V P et al High Temp 48 (5) 706 (2010)
  62. Koverda V P, Skokov V N Dokl. Phys. 55 (10) 485 (2010)
  63. Shakhparonov V M, Karagioz O V Meas Tech 52 (11) 1195 (2009)
  64. Kaulakys B, Alaburda M J. Stat. Mech. 2009 (02) P02051 (2009)
  65. Koverda V P, Skokov V N Tech. Phys. 54 (6) 770 (2009)
  66. Dmitriev A P, Levinshtein M E, Rumyantsev S L Journal of Applied Physics 106 (2) (2009)
  67. Koverda V P, Skokov V N Dokl. Phys. 54 (10) 454 (2009)
  68. Gridnev S A, Tsotsorin A N, Kalgin A V Physica Status Solidi (b) 245 (1) 224 (2008)
  69. Sergeev V A, Dulov O A Meas Tech 51 (10) 1122 (2008)
  70. Snarskii A, Bezsudnov I Physica B: Condensed Matter 403 (19-20) 3519 (2008)
  71. Gerashchenko O V Tech. Phys. Lett. 34 (2) 124 (2008)
  72. Koverda V P, Skokov V N Dokl. Phys. 53 (6) 301 (2008)
  73. Koverda V P, Skokov V N, Reshetnikov A V J. Engin. Thermophys. 16 (3) 130 (2007)
  74. Koverda V P, Skokov V N Tech. Phys. 52 (11) 1391 (2007)
  75. Skokov V N, Reshetnikov A V et al Acoust. Phys. 53 (2) 136 (2007)
  76. Reshetnikov A V, Mazheiko N A et al Tech. Phys. Lett. 33 (9) 732 (2007)
  77. Gantsevich S V, Gurevich V L, Sobko E M Phys. Solid State 49 (12) 2230 (2007)
  78. Galchenkov L A, Pyataikin I I J. Commun. Technol. Electron. 52 (7) 809 (2007)
  79. Moryashin A V, Obolensky S V et al Radiophys Quantum Electron 50 (2) 135 (2007)
  80. Reshetnikov A V, Sannikov V I et al J Appl Mech Tech Phys 48 (1) 7 (2007)
  81. Gridnev S A, Tsotsorin A N, Kalgin A V Bull. Russ. Acad. Sci. Phys. 71 (10) 1380 (2007)
  82. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 346 (3-4) 203 (2005)
  83. Koverda V P, Skokov V N Dokl. Phys. 50 (3) 119 (2005)
  84. Koverda V P, Skokov V N et al High Temp 43 (4) 634 (2005)
  85. Kaulakys B, Gontis V, Alaburda M Phys. Rev. E 71 (5) (2005)
  86. Reshetnikov A V, Koverda V P et al At Energy 98 (2) 97 (2005)
  87. Koverda V P, Skokov V N Tech. Phys. 49 (9) 1104 (2004)
  88. Koverda V P, Reshetnikov A V et al Tech. Phys. Lett. 30 (11) 944 (2004)
  89. Zhigal’skii G P Uspekhi Fizicheskikh Nauk 173 (5) 465 (2003)
  90. Koverda V P, Skokov V N Dokl. Phys. 48 (11) 615 (2003)
  91. Skripov V P, Vinogradov A V et al Tech. Phys. 48 (6) 682 (2003)
  92. Klimontovich Yu L Dokl. Phys. 47 (11) 783 (2002)
  93. Koverda V P, Skokov V N Dokl. Phys. 47 (9) 654 (2002)
  94. Reshetnikov A V, Skokov V N et al Journal Of Applied Mechanics And Technical Physics 43 (1) 109 (2002)
  95. Skokov V N, Koverda V P, Reshetnikov A V J. Exp. Theor. Phys. 92 (3) 535 (2001)
  96. STALIUNAS K Int. J. Bifurcation Chaos 11 (11) 2845 (2001)
  97. Staliunas K Phys. Rev. E 64 (6) (2001)
  98. Skokov V N, Reshetnikov A V et al High Temperature 39 (2) 296 (2001)
  99. Skokov V N, Reshetnikov A V et al Physica A: Statistical Mechanics And Its Applications 293 (1-2) 1 (2001)
  100. Berzin A A Mathematical Modeling Chapter 1 (2001) p. 3
  101. Makarov S V, Medvedev S Yu, Yakimov A V Radiophysics And Quantum Electronics 43 (11) 916 (2000)
  102. Makoviichuk M I Russ Microelectron 29 (4) 219 (2000)
  103. Reshetnikov A V, Koverda V P et al Dokl. Phys. 45 (10) 515 (2000)
  104. Budarin A G Dokl. Phys. 45 (5) 208 (2000)
  105. Mihaila M N Lecture Notes In Physics Vol. Noise, Oscillators and Algebraic RandomnessPhonon Fine Structure in the 1/f Noise of Metals, Semiconductors and Semiconductor Devices550 Chapter 11 (2000) p. 216
  106. Koverda V P, Skokov V N Tech. Phys. 45 (10) 1231 (2000)
  107. Skokov V N, Koverda V P Tech. Phys. Lett. 26 (10) 900 (2000)
  108. Berzin A A, Morozov A I, Sigov A S Phys. Solid State 42 (10) 1802 (2000)
  109. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 262 (3-4) 376 (1999)
  110. Chaban I A Journal Of Superconductivity 12 (5) 601 (1999)
  111. Skokov V N, Koverda V P Tech. Phys. Lett. 25 (5) (1999)
  112. Skokov V N, Koverda V P, Reshetnikov A V Jetp Lett. 69 (8) 636 (1999)
  113. Makarov S V, Medvedev S Yu et al Radiophys Quantum Electron 42 (3) 249 (1999)
  114. Yakimov A V Radiophys Quantum Electron 42 (6) 521 (1999)
  115. Oshikawa M, Zagoskin A M Superlattices And Microstructures 25 (5-6) 1177 (1999)
  116. Bondarev V N, Pikhitsa P V J. Phys.: Condens. Matter 10 (30) 6735 (1998)
  117. Koverda V P, Skokov V N, Skripov V P J. Exp. Theor. Phys. 86 (5) 953 (1998)
  118. Kaulakys B, Meškauskas T Phys. Rev. E 58 (6) 7013 (1998)
  119. Baskin E M, Snarskii A A et al Phys. Rev. B 56 (18) 11611 (1997)
  120. Levitan Yu S Phys. Rev. B 55 (15) 10027 (1997)
  121. Levinshtein M E Phys. Scr. T69 79 (1997)
  122. Weissman M B Physica D: Nonlinear Phenomena 107 (2-4) 421 (1997)
  123. Zhigal’skii G P Phys.-Usp. 40 (6) 599 (1997)
  124. Skokov V N, Koverda V N, Skripov V P Cryogenics 37 (5) 263 (1997)
  125. Nemirovsky A, Ron A Solid-State Electronics 41 (11) 1811 (1997)
  126. Snarskii A A, Kolek A Physica A: Statistical Mechanics And Its Applications 241 (1-2) 355 (1997)
  127. Yakimov A V Radiophys Quantum Electron 40 (9) 774 (1997)
  128. Kozub V I, Rudin A M Phys. Rev. B 53 (9) 5356 (1996)
  129. Jung G, Savo B Journal of Applied Physics 80 (5) 2939 (1996)
  130. Snarskii A A, Morozovsky A E et al Phys. Rev. E 53 (6) 5596 (1996)
  131. Koverda V P, Skokov V N, Skripov V P Jetp Lett. 63 (9) 775 (1996)
  132. Snarskii A A, Kolek A Jetp Lett. 63 (8) 651 (1996)
  133. Dolinsky Yu, Elperin T Transport Theory And Statistical Physics 25 (7) 825 (1996)
  134. Ashkenazy V D, Jung G et al Phys. Rev. B 51 (2) 1236 (1995)
  135. Scaldin O A, Selezneva O A et al Journal of Applied Physics 77 (7) 3194 (1995)
  136. Milotti E Phys. Rev. E 51 (4) 3087 (1995)
  137. Bobyl A V, Gaevski M E et al Physica C: Superconductivity 247 (1-2) 7 (1995)
  138. Klimontovich Yu L Springer Series In Synergetics Vol. Self-Organization in Optical Systems and Applications in Information TechnologyFrom Hamiltonian Mechanics to Continuous Media. Dissipative Structures. Criteria of Self-Organization66 Chapter 9 (1995) p. 217
  139. Brodyanskii A P, Dmitrenko I M et al Low Temperature Physics 21 (3) 271 (1995)
  140. Fleetwood D M, Warren W L et al Journal Of Non-Crystalline Solids 187 199 (1995)
  141. Varani L, Reggiani L et al IEEE Trans. Electron Devices 41 (11) 1916 (1994)
  142. Kiss L B, Svedlindh P IEEE Trans. Electron Devices 41 (11) 2112 (1994)
  143. Jones B K IEEE Trans. Electron Devices 41 (11) 2188 (1994)
  144. Gaiduk V I, Tseitlin B M Advances In Chemical Physics Vol. Advances in Chemical PhysicsThe Complex Susceptibility of a Librating Dipole in An Axially Symmetric Potential Well87 1 (1994) p. 125
  145. Varani L, Reggiani L Riv. Nuovo Cim. 17 (7) 1 (1994)
  146. Brodyanskii A P, Dmitrenko I M et al Low Temperature Physics 20 (9) 770 (1994)
  147. Parman C E, Israeloff N E, Kakalios J Phys. Rev. B 47 (19) 12578 (1993)
  148. Varani L, Reggiani L et al Phys. Rev. B 48 (7) 4405 (1993)
  149. Warden M Phys. Rev. E 48 (2) R639 (1993)
  150. Jones B K Advances In Electronics And Electron Physics Vol. Advances in Electronics and Electron Physics Volume 87Electrical Noise as a Measure of Quality and Reliability in Electronic Devices87 (1993) p. 201
  151. Gertsenshtein M E, Levinzon F A, Potemkin V V Radiophys Quantum Electron 36 (12) 872 (1993)
  152. Mladentsev A L, Yakimov A V Radiophys Quantum Electron 36 (8) 579 (1993)
  153. Pokrovskii V Y, Zaitsev-Zotov S V, Nad’ F Y J. Phys.: Condens. Matter 5 (50) 9317 (1993)
  154. Parman C E, Israeloff N E, Kakalios J MRS Proc. 258 (1992)
  155. Sukhanov A N, Osipov V V, Mamedov I M Infrared Physics 33 (6) 451 (1992)
  156. Washburn S, Webb R A Rep. Prog. Phys. 55 (8) 1311 (1992)
  157. Reggiani L, Kuhn T, Varani L Appl. Phys. A 54 (5) 411 (1992)
  158. Heinrichs J J. Phys.: Condens. Matter 4 (30) L405 (1992)
  159. Pokrovskii V Ya, Zaitsev-Zotov S V Synthetic Metals 43 (3) 3899 (1991)
  160. Volkova A V Mater Sci 26 (4) 449 (1991)
  161. Kiss L B, Svedlindh P et al Physica B: Condensed Matter 172 (4) 441 (1991)
  162. Banduryan B B, Dmitrenko I M et al Soviet Journal of Low Temperature Physics 17 (4) 263 (1991)
  163. Parman C, Kakalios J MRS Proc. 219 (1991)
  164. Gertsenshtein M E, Korotkov A N et al Radiophys Quantum Electron 34 (1) 40 (1991)
  165. FENG Shechao Modern Problems In Condensed Matter Sciences Vol. Mesoscopic Phenomena in SolidsConductance Fluctuations and 1/f Noise Magnitudes in Small Disordered Structures: Theory30 (1991) p. 107
  166. GIORDANO N Modern Problems In Condensed Matter Sciences Vol. Mesoscopic Phenomena in SolidsConductance Fluctuations and Low-Frequency Noise in Small Disordered Systems: Experiment30 (1991) p. 131
  167. Levitan Yu S, Panchenko N N Journal Of Engineering Physics 61 (5) 1338 (1991)
  168. Jung G, Vitale S et al Journal of Applied Physics 70 (10) 5440 (1991)
  169. Parman C, Kakalios J Phys. Rev. Lett. 67 (18) 2529 (1991)
  170. Klimontovich Yu L Physica A: Statistical Mechanics And Its Applications 167 (3) 782 (1990)
  171. Pokrovskii V Ya, Zaitsev-Zotov S V Europhys. Lett. 13 (4) 361 (1990)
  172. Dinariev O Yu Soviet Physics Journal 33 (10) 821 (1990)
  173. Pashev A G, Yakimov A V Radiophys Quantum Electron 33 (6) 558 (1990)
  174. Gabovich A M, Kulikov V A et al Soviet Journal of Low Temperature Physics 16 (9) 653 (1990)
  175. Bakshee I S, Karachevtseva L A et al Phys. Stat. Sol. (a) 117 (1) K37 (1990)
  176. Prekul A F, Rol’shchikov A B et al Soviet Journal of Low Temperature Physics 16 (7) 515 (1990)
  177. Kiss L B, Svedlindh P et al Solid State Communications 75 (9) 747 (1990)
  178. Pawlikowski J M Thin Solid Films 190 (1) 39 (1990)
  179. Galperin Yu M, Karpov V G, Kozub V I Advances In Physics 38 (6) 669 (1989)
  180. Maeda A, Nakayama Y et al Physica C: Superconductivity 160 (5-6) 443 (1989)
  181. Israeloff N E, Weissman M B et al Solid State Communications 66 (8) 805 (1988)
  182. Weissman M B Rev. Mod. Phys. 60 (2) 537 (1988)
  183. Dyre Je C Phys. Rev. B 37 (17) 10143 (1988)
  184. Yartsev S V, Prekul A F, Volkenshtein N V Soviet Journal of Low Temperature Physics 13 (3) 132 (1987)
  185. Hayat S A, Jones B K Semicond. Sci. Technol. 2 (11) 732 (1987)
  186. Maeda A, Uchinokura K, Tanaka S Synthetic Metals 19 (1-3) 825 (1987)
  187. Zagoskin A M, Kulik I O, Omel’yanchuk A N Soviet Journal of Low Temperature Physics 13 (6) 332 (1987)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions